doex - The One-Way Heteroscedastic ANOVA Tests
Contains the heteroscedastic ANOVA tests for normal and
two-parameter exponential distributed populations. For normal
distributions, Alexander-Govern test by Alexandern and Govern
(1994) <doi:10.2307/1165140>, Alvandi et al. Generalized F test
by Alvandi et al. (2012) <doi:10.1080/03610926.2011.573160>,
Approximate F test by Asiribo and Gurland (1990)
<doi:10.1080/03610929008830427>, Box F test by Box (1954)
<doi:10.1214/aoms/1177728786>, Brown-Forsythe test by Brown and
Forsythe (1974) <do:10.2307/1267501>, B2 test by Ozdemir and
Kurt (2006) <http://sjam.selcuk.edu.tr/sjam/article/view/174>,
Cochran F test by Cochran (1937)
<https://www.jstor.org/stable/pdf/2984123.pdf>, Fiducial
Approach test by Li et al. (2011)
<doi:10.1016/j.csda.2010.12.009>, Generalized F test by
Weerahandi (1995) <doi:10.2307/2532947>, Johansen F test by
Johansen (1980) <doi:10.1093/biomet/67.1.85>, Modified
Brown-Forsythe test by Mehrotra (1997)
<doi:10.1080/03610919708813431>, Modified Welch test by Hartung
et al.(2002) <doi:10.1007/s00362-002-0097-8>, One-Stage test by
Chen and Chen (1998) <doi:10.1080/03610919808813501>, One-Stage
Range test by Chen and Chen (2000)
<doi:10.1080/01966324.2000.10737505>, Parametric Bootstrap test
by Krishnamoorhty et al.(2007)
<doi:10.1016/j.csda.2006.09.039>, Permutation F test by Berry
and Mielke (2002) <doi:10.2466/pr0.2002.90.2.495>, Scott-Smith
test by Scott and Smith (1971) <doi:10.2307/2346757>, Welch
test by Welch(1951) <doi:10.2307/2332579>, and Welch-Aspin test
by Aspin (1948) <doi:10.1093/biomet/35.1-2.88>. These tests are
used to test the equality of group means under unequal
variance. Also, a modified version of Generalized F-test is
improved to test the equality of non-normal group means under
unequal variances and a revised version of Generalized F-test
is given to test the equality of non-normal group means caused
by skewness. Furthermore, it consists some procedures for
testing equality of several two-parameter exponentially
distributed population means under unequal scale parameters
such as generalized p-value, parametric bootstrap and fiducial
approach test by Malekzadeh and Jafari (2019)
<doi:10.1080/03610918.2018.1538452>. There is also Hsieh test
by Hsieh (1986) <doi:10.2307/1270452> for testing equality of
location parameters of two-parameter exponentially distributed
populations under unequal scale parameters.